Results 131 to 140 of about 52,018 (229)

Universal gap growth for Lyapunov exponents of perturbed matrix products

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip, Gary Froyland, Cecilia González‐Tokman, Anthony Quas   +3 more
wiley   +1 more source

The Well-Posedness and Ergodicity of a CIR Equation Driven by Pure Jump Noise

Mathematics
The current paper is devoted to the dynamical property of the stochastic Cox–Ingersoll–Ross (CIR) model with pure jump noise, which is an extension of the CIR model.
Xu Liu, Xingfu Hong, Fujing Tian, Chufan Xiao, Hao Wen   +4 more
doaj   +1 more source

Exact local distribution of the absolutely continuous spectral measure

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract It is well‐established that the spectral measure for one‐frequency Schrödinger operators with Diophantine frequencies exhibits optimal 1/2$1/2$‐Hölder continuity within the absolutely continuous spectrum (Avila and Jitomirskaya, Commun. Math. Phys. 301 (2011), 563–581).
Xianzhe Li, Jiangong You, Qi Zhou
wiley   +1 more source

Exploring Hilbert-Space Fragmentation on a Superconducting Processor

PRX Quantum
Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars.
Yong-Yi Wang, Yun-Hao Shi, Zheng-Hang Sun, Chi-Tong Chen, Zheng-An Wang, Kui Zhao, Hao-Tian Liu, Wei-Guo Ma, Ziting Wang, Hao Li, Jia-Chi Zhang, Yu Liu, Cheng-Lin Deng, Tian-Ming Li, Yang He, Zheng-He Liu, Zhen-Yu Peng, Xiaohui Song, Guangming Xue, Haifeng Yu, Kaixuan Huang, Zhongcheng Xiang, Dongning Zheng, Kai Xu, Heng Fan   +24 more
doaj   +1 more source

Smooth Ergodic Theory

, 2009
This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.
openaire   +2 more sources

Ergodic flows are strictly ergodic

Advances in Mathematics, 1974
Denker, Manfred, Eberlein, Ernst
openaire   +2 more sources

Abstract Ergodic Theorems [PDF]

Proceedings of the National Academy of Sciences, 1948
openaire   +2 more sources

A Classification of Intrinsic Ergodicity for Recognisable Random Substitution Systems. [PDF]

Commun Math Phys
Gohlke P, Mitchell A.
europepmc   +1 more source

Universal activated aging and weak ergodicity breaking in spin and structural glasses. [PDF]

Sci Adv
Li B, Pan D, Qu T, Jin Y.
europepmc   +1 more source

Ergodicity and regime recoverability in finite Markov-modulated random walks. [PDF]

Sci Rep
Pambukyan A, Saudagar AKJ, Kumar S.
europepmc   +1 more source